Hal and muqtada al-hal have distinct roles. Hal is the relevant condition; muqtada al-hal is the particular feature the condition calls for in the wording.
ElementHearer-denial example
HalThe hearer denies the proposition
Demand of the halEmphasis is called for
Matching discourseAn otherwise fasih assertion with suitable emphasis
A good analysis identifies not merely that an utterance fits, but which condition calls for which expressive feature.